In a newly released murder mystery, the author decides to secretly print two different versions of the book with different endings. In 1 out of every 8 books, the butler is the murderer. Suppose 6 friends each buy a copy of the book. Find the probability of each of the following events occurring:

Round each answer to 4 decimal places.

At least 4 read that the butler did it:

More than 2 read that the butler did it:

No more than 1 read that the butler did it:

Fewer than 3 read that the butler did it: